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Finding the Fourth Proportional to 5,149.09, 7,729.95 and 3,395.56

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Solution

The fourth proportional to 5,149.09, 7,729.95 and 3,395.56 is: 5,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.09 : 7,729.95 = 3,395.56 : x
  2. Step 2: Convert to fraction form
    5,149.09/7,729.95 = 3,395.56/x
  3. Step 3: Cross multiply
    5,149.09x = 7,729.95 × 3,395.56
  4. Step 4: Simplify right side
    5,149.09x = 26,247,497.82
  5. Step 5: Solve for x
    x = 26,247,497.82/5,149.09
  6. Step 6: Final answer
    x = 5,097.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.